MATHEMATICAL LITERACY P1 NOVEMBER 2011
MARKS: 150 TIME: 3 hours
This question paper consists of 15 pages and 1 annexure.
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INSTRUCTIONS AND INFORMATION 1. 2. This question paper consists of SIX questions. Answer ALL the questions. Answer QUESTION 6.1.3 and QUESTION 6.1.4 on the attached ANNEXURE. Write your centre number and examination number in the spaces provided on the ANNEXURE and hand in the ANNEXURE with your ANSWER BOOK. Number the answers correctly according to the numbering sytem used in this question paper. Start EACH question on a NEW page. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. Show ALL the calculations clearly. Round ALL the final answers off to TWO decimal places, unless stated otherwise. Indicate units of measurement, where applicable. Write neatly and legibly.
6. 7. 8. 9.
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QUESTION 1 1.1 1.1.1 1.1.2 1.1.3 1.1.4 1.1.5 1.1.6 Simplify: 241,50 (124,37 – 121,79) + 232,5625
(2) (2) (2) (2) (2)
Without rounding off, convert 25,5 centimetres to metres. How many eggs are there in a tray containing 2 1 dozen eggs? 2 Determine the time 2 hours and 7 minutes after 22:57. Determine the length of ONE side of a square if the perimeter is 36 m. If 9 February 2011 is a Wednesday, determine the probability that 26 February 2011 will be a Saturday.
A South African couple recently visited Botswana and Zambia. The table below shows the exchange rate between the currencies of the two countries and the South African rand (ZAR): SOUTH AFRICAN RAND TO FOREIGN CURRENCY R1,00 (ZAR) = 0,95 Botswana pula (BWP) R1,00 (ZAR) = 1.2.1 681,07 Zambian kwacha (ZMK)
The couple budgeted to pay R20,00 per person for lunch. How much is this amount in Botswana pula? The accommodation in Zambia cost 360 286 ZMK per couple per day. They paid a deposit of 1 021 605 ZMK to secure their accommodation. Dinner costs 85 134 ZMK per person and they both had dinner at the hotel restaurant four times. Use the formula below to calculate the total amount they will pay at the end of their ten-day stay at the hotel in Zambia. Total amount due = (number of days × A) + (8 × B) – C, where: A = accommodation cost, B = cost per dinner and C = deposit paid
On a particular day they travelled 180 km in 2 hours 15 minutes. Calculate their average speed in kilometres per hour. Use the formula: average speed =
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Facebook and Twitter are two international social networking sites. Individuals can use Facebook and Twitter to communicate with one another via the Internet. The following statistics about Facebook and Twitter come from a December 2010 article on the website www.digitalbuzzblog.com: • • Facebook has 500 million users, of which 230 million are male. Twitter has 106 million users, of which 50,88 million are male. (a) (b) (c) 1.3.2 Calculate the difference between the number of users of the two social networks. Determine the number of female users of Twitter. Calculate the percentage of Facebook users that are male. COMPARISON OF USERS OF FACEBOOK AND TWITTER FOR DECEMBER 2010
(2) (2) (3)
70% 60% 52% 41% 37% 30% 27%
Users who update their status daily
[Graph adapted from data given on: www.digitalbuzzblog.com]
(a) (b) (c) (d)
Give ONE example of a mobile device. Write down the percentage of Facebook users who logged in using mobile devices. Calculate the percentage of Facebook users who did NOT update their status daily. Determine the number of Twitter users that logged in daily....